Information on Result #59827
There is no OA(471, 229, S4, 45), because the linear programming bound shows that M ≥ 877 912702 924905 625680 913013 034326 550228 995916 587809 875578 704494 502776 185113 709858 393246 285168 640000 / 155 079140 374101 434134 168939 696571 367080 998053 409783 569671 > 471
Mode: Bound.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No OOA(471, 229, S4, 2, 45) | [i] | Depth Reduction | |
| 2 | No OOA(471, 229, S4, 3, 45) | [i] | ||
| 3 | No (26, 71, 229)-net in base 4 | [i] | Extracting Embedded Orthogonal Array | |
| 4 | No linear OA(4251, 410, F4, 180) (dual of [410, 159, 181]-code) | [i] | Residual Code | |